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Finding the Fourth Proportional to 8,391.65, 11,581.08 and 5,034.38

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Solution

The fourth proportional to 8,391.65, 11,581.08 and 5,034.38 is: 6,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.65 : 11,581.08 = 5,034.38 : x
  2. Step 2: Convert to fraction form
    8,391.65/11,581.08 = 5,034.38/x
  3. Step 3: Cross multiply
    8,391.65x = 11,581.08 × 5,034.38
  4. Step 4: Simplify right side
    8,391.65x = 58,303,557.53
  5. Step 5: Solve for x
    x = 58,303,557.53/8,391.65
  6. Step 6: Final answer
    x = 6,947.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.